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3 years ago

X^2-10x+27 in the form (x-a)^2+B

Mathematics

1 answer:

Irina18 [472]3 years ago

4 0

Answer:

(x-5)^2+2

Step-by-step explanation:

To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).

Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:

(x-10x+25)+27-25

Then, we can make (x-10x+25) to (x-5)^2:

(x-5)^2+2

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Answer:

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1 year ago

Eliza is two years younger than half her brother, Juan’s age. Write an equation to represent Eliza’s age. If Juan is 6 how old i

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X = Juan's age
y = Eliza's age

Some key words/phrases we can use to help us make the equation are:

-is (whatever comes after this word usually equals the end result, or what it equals)
-two years younger
-than
-half her brother's age
.
just break it down :)

x/2 (half her brother's age) - 2 (two years younger) = y (Eliza is...)

| basically,
v

x/2 - 2 = y
So if Juan is 6, then we need to plug in 6 for x.

6/2 - 2 = y

3 - 2 = y

1 = y

ANSWER: Eliza is one year old.

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3 years ago

Which options could be the next step in simplifying this expression? 5 • (2 + 4) Choose exactly two answers that are correct. A.

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3 years ago

X^2-10x+27 in the form (x-a)^2+B​

X^2-10x+27 in the form (x-a)^2+B